Abstract. According to the structural characteristics of the blisk, a new adaptive belt tool system for blisk finishing is developed. The
pneumatic servo system, which is composed of the cylinder, the servo valve, and the force sensor, is used to control the polishing force. Due to the
strong nonlinearity of the pneumatic system, a two-dimensional fuzzy proportion, integral, derivative (PID) controller is developed for the pneumatic force control. The proposed
controller adjusts the proportional, integral, and differential parameters
of the traditional PID controller in real time through the error and error
rate so as to optimize the control performance of the pneumatic system. Compared with the PID control, the steady-state error of the fuzzy PID
control is reduced by 0.03 s and the overshoot is reduced by 4 %, which
reveals the superiority of the fuzzy PID control algorithm for the
nonlinear system. Finally, the experiments of polishing the blisk sample and the real blisk are carried out by the proposed belt tool system. The
results show that the polishing process is very stable and the roughness
after polishing is less than 0.4 µm, which proves the effectiveness of
the proposed new belt tool system and the fuzzy PID controller.